The communities of Wood Town and Green Village live in a valley. Communication between the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is known that the angles of depression from the repeater station to Wood Town and Green Village are 44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and Green Village are 1.35 km and 1.04 km, respectively. a Find the vertical height, to the nearest metre, between the repeater station and: ii Green Village b Find the difference in height between the two communities, to the nearest metre. i Wood Town

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
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9 The communities of Wood Town and Green Village live in a valley. Communication between
the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is
known that the angles of depression from the repeater station to Wood Town and Green Village are
44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and
Green Village are 1.35 km and 1.04 km, respectively.
Find the vertical height, to the nearest metre, between the repeater station and:
i Wood Town
b Find the difference in height between the two communities, to the nearest metre.
a
ii Green Village
Transcribed Image Text:9 The communities of Wood Town and Green Village live in a valley. Communication between the two communities is enhanced by a repeater station on the summit of a nearby mountain. It is known that the angles of depression from the repeater station to Wood Town and Green Village are 44.6° and 58.2°, respectively. Also, the horizontal distances from the repeater to Wood Town and Green Village are 1.35 km and 1.04 km, respectively. Find the vertical height, to the nearest metre, between the repeater station and: i Wood Town b Find the difference in height between the two communities, to the nearest metre. a ii Green Village
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